Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty? An article reported that for a sample of 125 courses taught by full-time faculty, the mean course GPA was 2.7386 and the standard deviation was 0.63342, whereas for a sample of 88 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.50241, respectively. Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01. State the relevant hypotheses.

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**Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty?**

An article reported that for a sample of 125 courses taught by full-time faculty, the mean course GPA was 2.7386 and the standard deviation was 0.63342, whereas for a sample of 80 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.50241, respectively. Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01.

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### State the relevant hypotheses:

- \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} = 0\) \(\bigcirc\) \(\mu_{\text{full-time}} - \mu_{\text{part-time}} \neq 0\)
- \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} > 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text{part-time}} \leq 0\)
- \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} \geq 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text{part-time}} < 0\)
- \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} > 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text{part-time}} \leq 0\)
- \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} \geq 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text{part-time}} < 0\)
- \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} < 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text
Transcribed Image Text:--- **Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time faculty?** An article reported that for a sample of 125 courses taught by full-time faculty, the mean course GPA was 2.7386 and the standard deviation was 0.63342, whereas for a sample of 80 courses taught by part-timers, the mean and standard deviation were 2.8639 and 0.50241, respectively. Does it appear that true average course GPA for part-time faculty differs from that for faculty teaching full-time? Test the appropriate hypotheses at significance level 0.01. --- ### State the relevant hypotheses: - \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} = 0\) \(\bigcirc\) \(\mu_{\text{full-time}} - \mu_{\text{part-time}} \neq 0\) - \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} > 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text{part-time}} \leq 0\) - \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} \geq 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text{part-time}} < 0\) - \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} > 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text{part-time}} \leq 0\) - \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} \geq 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text{part-time}} < 0\) - \(\circ\) \(H_0 : \mu_{\text{full-time}} - \mu_{\text{part-time}} < 0\) \(H_1 : \mu_{\text{full-time}} - \mu_{\text
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